ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ

ਇੱਕ ਸਾਈਨੁਸੋਆਇਡਲ ਵਕਰ, ਜਿਸਦਾ ਉੱਚਤਮ ਐਂਪਲੀਟਿਊਡ (1) ਹੈ।  ਫੇਜ਼ ਸ਼ਿਫਟ θ ਦਾ ਚਿੱਤ੍ਰਣ।

$\scriptstyle f(t)$

$\scriptstyle {\hat {f}}(\omega )$

$\scriptstyle g(t)$

$\scriptstyle {\hat {g}}(\omega )$

$\scriptstyle t$

$\scriptstyle \omega$

$\scriptstyle t$

$\scriptstyle \omega$

In the first row is the graph of the unit pulse function $f(t)$ and its Fourier transform ${\hat {f}}(\omega )$, a function of frequency $\omega$. Translation (that is, delay) in the time domain goes over to complex phase shifts in the frequency domain. In the second row is shown $g(t)$, a delayed unit pulse, beside the real and imaginary parts of the Fourier transform. The Fourier transform decomposes a function into eigenfunctions for the group of translations.

ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
ਨਿਰੰਤਰ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
ਫੋਰੀਅਰ ਸੀਰੀਜ਼
ਅਨਿਰੰਤਰ-ਸਮਾਂ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
ਅਨਿਰੰਤਰ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
ਕਿਸੇ ਛੱਲੇ ਉੱਪਰ ਅਨਿਰੰਤਰ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
ਫੋਰੀਅਰ ਵਿਸ਼ਲੇਸ਼ਣ
ਸਬੰਧਤ ਪਰਿਵਰਤਨ

ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ ਵਕਤ ਦੇ ਕਿਸੇ ਫੰਕਸ਼ਨ (ਕਿਸੇ ਸਿਗਨਲ) ਨੂੰ ਅਜਿਹੀਆਂ ਫਰੀਕੁਐਂਸੀਆਂ ਵਿੱਚ ਤੋੜ ਦਿੰਦਾ ਹੈ ਜੋ ਇਸਨੂੰ ਉਸੇ ਤਰੀਕੇ ਨਸਾਲ ਬਣਾ ਦਿੰਦੀਆਂ ਹਨ, ਜਿਵੇਂ ਕੋਈ ਸੰਗੀਤਕ ਤਾਰ ਨੂੰ ਇਸਦੇ ਰਚਣਹਾਰੇ ਨੋਟਾਂ ਦੇ ਐਂਪਲੀਟਿਊਡ (ਜਾਂ ਉੱਚੇਪਣ) ਦੇ ਤੌਰ ਤੇ ਦਰਸਾਇਆ ਜਾ ਸਕਦਾ ਹੈ।

ਇਹ ਵੀ ਦੇਖੋ

• ਐਨਾਲੌਗ ਸੰਕੇਤ ਵਿਕਾਸ
• ਬੀਵਰਜ਼-ਲਿਪਸਨ ਸਟਰਿਪ
• ਅਨਿਰੰਤਰ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
  • DFT ਮੈਟ੍ਰਿਕਸ
• ਅਨਿਰੰਤਰ-ਸਮਾਂ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
• ਤੇਜ਼ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
• ਫੋਰੀਅਰ ਇੰਟਗ੍ਰਲ ਓਪਰੇਟਰ
• ਫੋਰੀਅਰ ਇਨਵਰਸ਼ਨ ਥਿਓਰਮ
• ਫੋਰੀਅਰ ਮਲਟੀਪਲਾਇਰ
• ਫੋਰੀਅਰ ਸੀਰੀਜ਼
• ਫੋਰੀਅਰ ਸਾਈਨ ਪਰਿਵਰਤਨ
• ਫੋਰੀਅਰ-ਡੈਲੀਗਨੇ ਪਰਿਵਰਤਨ
• ਫੋਰੀਅਰ-ਮੁਕਾਇ ਪਰਿਵਰਤਨ
• ਭਿੰਨਾਤਮਿਕ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
• ਅਸਿੱਧਾ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
• ਇੰਟਗ੍ਰਲ ਪਰਿਵਰਤਨ
  • ਹੈਂਕਲ ਪਰਿਵਰਤਨ
  • ਹਾਰਟਲੇ ਪਰਿਵਰਤਨ
• ਲਾਪਲੇਸ ਪਰਿਵਰਤਨ
• ਰੇਖਿਕ ਕਾਨੋਨੀਕਲ ਪਰਿਵਰਤਨ
• ਮਿਲਿੱਨ ਪਰਿਵਰਤਨ
• ਬਹੁਅਯਾਮੀ ਪਰਿਵਰਤਨ
• NGC 4622, ਖਾਸਤੌਰ ਤੇ ਤਸਵੀਰ NGC 4622 ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ m = 2.
• ਅਲਪ-ਕਾਲੀਨ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
• ਸਪੇਸ-ਟਾਈਮ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
• ਸਪੈਕਟ੍ਰਲ ਘਣਤਾ
  • ਸਪੈਕਟ੍ਰਲ ਘਣਤਾ ਅਨੁਮਾਨ
• ਚਿੰਨਾਤਮਿਕ ਇੰਟੀਗ੍ਰੇਸ਼ਨ
• ਸਮਾਂ ਖਿੱਚ ਡਿਸਪਰਸਿਵ ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ
• ਪਰਿਵਰਤਨ (ਗਣਿਤ)

ਹਵਾਲੇ

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ਬਾਹਰੀ ਲਿੰਕ

• Weisstein, Eric W., "ਫੋਰੀਅਰ ਪਰਿਵਰਤਨ" from MathWorld.